Rayleigh-Taylor mixing: Direct numerical simulation and implicit large eddy simulation

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Previous research into three-dimensional numerical simulation of self-similar mixing due to Rayleigh-Taylor instability is summarized. A range of numerical approaches has been used: direct numerical simulation, implicit large eddy simulation and large eddy simulation with an explicit model for sub-grid-scale dissipation. However, few papers have made direct comparisons between the various approaches. The main purpose of the current paper is to give comparisons of direct numerical simulations and implicit large eddy simulations using the same computational framework. Results are shown for four test cases: (i) single-mode Rayleigh-Taylor instability, (ii) self-similar Rayleigh-Taylor mixing, (iii) three-layer mixing and (iv) a tilted-rig Rayleigh-Taylor experiment. It is found that both approaches give similar results for the high-Reynolds number behavior. Direct numerical simulation is needed to assess the influence of finite Reynolds number.

LanguageEnglish
Article number074006
Number of pages14
JournalPhysica Scripta
Volume92
Issue number7
DOIs
Publication statusPublished - 22 Jun 2017

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Large Eddy Simulation
large eddy simulation
direct numerical simulation
Rayleigh
Taylor instability
Reynolds number
high Reynolds number
Mixing Layer
Single Mode
dissipation
grids
Dissipation
Grid
Numerical Simulation
Three-dimensional
Direct numerical Simulation
simulation
Range of data
Experiment
Model

Keywords

  • direct numerical simulation
  • implicit large eddy simulation
  • Rayleigh Taylor instability

Cite this

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abstract = "Previous research into three-dimensional numerical simulation of self-similar mixing due to Rayleigh-Taylor instability is summarized. A range of numerical approaches has been used: direct numerical simulation, implicit large eddy simulation and large eddy simulation with an explicit model for sub-grid-scale dissipation. However, few papers have made direct comparisons between the various approaches. The main purpose of the current paper is to give comparisons of direct numerical simulations and implicit large eddy simulations using the same computational framework. Results are shown for four test cases: (i) single-mode Rayleigh-Taylor instability, (ii) self-similar Rayleigh-Taylor mixing, (iii) three-layer mixing and (iv) a tilted-rig Rayleigh-Taylor experiment. It is found that both approaches give similar results for the high-Reynolds number behavior. Direct numerical simulation is needed to assess the influence of finite Reynolds number.",
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Rayleigh-Taylor mixing : Direct numerical simulation and implicit large eddy simulation. / Youngs, David L.

In: Physica Scripta, Vol. 92, No. 7, 074006, 22.06.2017.

Research output: Contribution to journalArticle

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T2 - Physica Scripta

AU - Youngs, David L.

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AB - Previous research into three-dimensional numerical simulation of self-similar mixing due to Rayleigh-Taylor instability is summarized. A range of numerical approaches has been used: direct numerical simulation, implicit large eddy simulation and large eddy simulation with an explicit model for sub-grid-scale dissipation. However, few papers have made direct comparisons between the various approaches. The main purpose of the current paper is to give comparisons of direct numerical simulations and implicit large eddy simulations using the same computational framework. Results are shown for four test cases: (i) single-mode Rayleigh-Taylor instability, (ii) self-similar Rayleigh-Taylor mixing, (iii) three-layer mixing and (iv) a tilted-rig Rayleigh-Taylor experiment. It is found that both approaches give similar results for the high-Reynolds number behavior. Direct numerical simulation is needed to assess the influence of finite Reynolds number.

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